MO412-Yan

In a population of size N = 10. 000 , a disease spreads according to the SI model. The average degree is ⟨ k ⟩ = 20 , the transmission probability per contact is \beta = 0.04 β = 0,04 , and initially one individual is infected . Using the SI model solution, compute the expected number of infected individuals after t = 5 time units . Choose the closest value. A) 54 B) 350 C) 850 D) 1.100 E) None of the above Original idea: Yan Prada

 Consider a complex network subject to random failures and targeted attacks. Which of the following statements best characterizes network robustness ? a) Scale-free networks are equally robust against both random failures and targeted attacks due to their heavy-tailed degree distribution. b) Random networks (Erdős–Rényi type) typically remain connected longer under random attacks than scale-free networks with the same average degree. c) The robustness of a network is maximized when the degree distribution follows a power law with exponent close to 5. d) In scale-free networks, robustness to random node removal arises because most nodes have low degree, while vulnerability to targeted attacks results from dependence on high-degree hubs. e) None of the above.